Factoring a Monomial

Factor:

80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁵)

• 3x²(80x³-40-60x⁵)

9xyz + 3xy

• xy (9z + 3)

• 9xy (z + 3)

• 3xy (3xyz + 1)

• 3xy (3z + 1)

Factor completely

9xyz + 3xy

• xy (9z + 3)

• 9xy (z + 3)

• 3xy (3xyz + 1)

• 3xy (3z + 1)

Factor using GCF or monomial factoring: 2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Factor using GCF or monomial factoring:

2x + 18

• 2(x + 9)

• 2(x + 8)

• 2(2x + 9)

• cannot be factored

Factor using GCF or monomial factoring:

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Factor using GCF or monomial factoring:

w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

What is the GCF of the terms below?

24x³ + 36x²

• 8x

• 6x²

• 12x²

• 4x

• 12x³

Factor out the Greatest Common Factor to write an equivalent expression:

Mathematical Equivalence

OFF

Answer explanation

Everything that BOTH terms are divisible by should be in the front. It is the GCF. The terms in the parentheses are the "leftovers" after you have divided each term by the GCF.

{It's like you UN-distributed the monomial.}